案例-k-近邻-手写字识别系统
- 收集数据:提供文本文件
- 准备数据:编写函数classify0(), 将图像格式转换为分类器使用的list格式
- 分析数据:检查数据
- 训练算法:不适用于k-近邻算法
- 测试算法:编写函数切分测试样本; 测试样本是已经完成分类的数据,如果预测分类与实际分类不同,则标记为错误
- 使用算法:
Numpy中有两个常用数据类型,数组(array/ndarray)、矩阵(matrix)
- matrix是array的特殊形式,matrix只能表示2维的数据,而array可以表示任意维度数据,matrix相当于二维数组。
- 当matrix的某一维的维度为1时,即可称为向量(m,1)是列向量,(1,n)是行向量
import numpy as np
import os
import operator
准备数据:将图像转换为测试向量
# 将图像处理为向量
def img2vector(filename):
= np.zeros((1,1024))
returnVect # print(returnVect)
with open(filename,'r') as f:
for i in range(32):
= f.readline()
lineStr # print(lineStr)
for j in range(32):
0,32*i+j] = int(lineStr[j])
returnVect[return returnVect
= img2vector("./dataset/testDigits/0_0.txt") testVector
[[0. 0. 0. ... 0. 0. 0.]]
0,0:120] testVector[
array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 1., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 1., 1., 1., 1., 1., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1., 1., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 0., 0., 0.,
0.])
# kNN分类器
def classify0(inX, dataSet, labels, k):
= dataSet.shape[0] #行数
datsSetSize = np.tile(inX, (datsSetSize,1)) -dataSet #将输入矩阵放大,求差
diffMat = diffMat ** 2
sqDiffMat = sqDiffMat.sum(axis=1) #跨列,按行求和
sqDistances = sqDistances ** 0.5 # 欧式距离
distances = distances.argsort() # 返回数组值从小到大的索引
sortedDistIndicies # 选择距离最小的k个点
={}
classCountfor i in range(k):
= labels[sortedDistIndicies[i]]
voteIlabel = classCount.get(voteIlabel,0) +1
classCount[voteIlabel]# 排序
= sorted(classCount.items(),key=operator.itemgetter(1), reverse=True)
sortedClassCount return sortedClassCount[0][0]
测试算法:使用k-近邻算法识别手写数字
def handwriteClassTest():
=[]
hwLabels = os.listdir('./dataset/trainingDigits')
trainingFileList = len(trainingFileList)
m # print(m)
= np.zeros((m,1024))
trainingMat for i in range(m):
= trainingFileList[i]
fileNameStr # print(fileNameStr)
= fileNameStr.split('.')[0]
fileStr # print(fileStr)
= int(fileStr.split('_')[0])
classNum
hwLabels.append(classNum)= img2vector('./dataset/trainingDigits/%s' % fileNameStr)
trainingMat[i,:]
= os.listdir('./dataset/testDigits')
testFileList =0.0
errorCount = len(testFileList)
mTest for j in range(mTest):
= testFileList[j]
fileNameStr = fileNameStr.split('.')[0]
fileStr = int(fileStr.split('_')[0])
classNum = img2vector('./dataset/testDigits/%s' % fileNameStr)
vectorTest = classify0(vectorTest, trainingMat, hwLabels, 3)
classifierResult print("classifierResult:",classifierResult, "real answer:",classNum)
if (classifierResult != classNum):
+= 1.0
errorCount print("正确率:",1.0-errorCount/float(mTest))
handwriteClassTest()
classifierResult: 4 real answer: 4
classifierResult: 4 real answer: 4
classifierResult: 3 real answer: 3
classifierResult: 9 real answer: 9
classifierResult: 0 real answer: 0
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classifierResult: 7 real answer: 7
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classifierResult: 0 real answer: 0
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classifierResult: 2 real answer: 2
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classifierResult: 5 real answer: 5
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classifierResult: 2 real answer: 2
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classifierResult: 8 real answer: 8
classifierResult: 1 real answer: 8
classifierResult: 1 real answer: 1
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classifierResult: 9 real answer: 9
classifierResult: 3 real answer: 3
classifierResult: 5 real answer: 5
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classifierResult: 1 real answer: 1
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classifierResult: 1 real answer: 1
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classifierResult: 2 real answer: 2
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classifierResult: 9 real answer: 9
classifierResult: 3 real answer: 3
classifierResult: 7 real answer: 7
classifierResult: 7 real answer: 7
classifierResult: 9 real answer: 9
classifierResult: 0 real answer: 0
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classifierResult: 4 real answer: 4
classifierResult: 9 real answer: 9
classifierResult: 7 real answer: 7
classifierResult: 7 real answer: 7
classifierResult: 1 real answer: 1
classifierResult: 5 real answer: 5
classifierResult: 4 real answer: 4
classifierResult: 3 real answer: 3
classifierResult: 3 real answer: 3
正确率: 0.9883720930232558
代码示意:
- 这段代码的主要功能是从os模块中导入函数listdir,它可以列 出给定目录的文件名。
- 将trainingDigits目录中的文件内容存储在列表中 ,然后可以得到目录中有多少文件,并将其存储在变量m中。
- 接着,代码创建一个m行1024列的训练矩阵,该矩阵的每行数 据存储一个图像。
- 我们可以从文件名中解析出分类数字 。该目录下的文件按照规则命名,如文件 9_45.txt的分类是9,它是数字9的第45个实例。
- 然后我们可以将类代码存储在hwLabels向量中,使 用前面讨论的img2vector函数载入图像。
- 在下一步中,我们对testDigits目录中的文件执行相似的操作,不同之处是我们并不将这个目录下的文件载入矩阵中,而是使用classify0()函数测试该 目录下的每个文件
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